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The Composed Market / What may be combined
Forty rules, and the seven that refuse a combination outright

What an operator will and will not combine into one market

Not every set of outcomes is allowed to become one market. Some combinations are permitted and priced automatically, some are permitted only with a person pricing them, and some are refused because the legs cannot all happen, or cannot be settled on one rule, or because the model has nothing to say about them.

Desk spec
rules read
40
permitted
22
manual price
11
refused
7
the composed priceThe number returned for a set of outcomes the customer named. It is not the product of the legs: on the samples 5.60 multiplies and 4.80 is offered, because the legs happen together more often than independence implies.
the requestA customer asking an operator to invent a market. 500 arrived in the sample month, 218 produced a price, 131 could not be priced at all, and the median answer took 3 hours 40 minutes.
the void legA leg that never happens, repaired by re-pricing the combination from its remaining legs. Dividing the price by the void leg gives 4.50 where the real three-leg price is 4.80 - a 6.7% error.
Direct answer

An operator combines only what it has a rule for. Of 40 documented rules in sample C, 22 permit a combination outright, 11 require a person to price it manually and 7 refuse it. The refusals divide into legs that cannot all happen, legs that cannot be settled on one rule, and combinations the model cannot price.

The three families of rule

The first family is mutual exclusivity. Two outcomes in the same market cannot both happen - a team cannot win and draw - so a combination that needs both is not a market but a contradiction. The second is a settlement dependency: a 90-minute result and a match to be decided in extra time are settled on different rules, and a single combination that needs both cannot be settled at all unless one rule is chosen and stated. The third is coverage: the model has chances for the legs it can see, and nothing for the ones it cannot, which is where most of the 131 requests in sample B were lost.

Legs that merely look risky are not excluded. A 50.00 outsider can be combined with anything the model covers, because the price absorbs the risk. What cannot be combined is a set of outcomes that is not internally consistent, and that is a much smaller list than readers assume - seven of forty rules, on the samples.

What the samples show

Sample C - forty documented combination rules, by kind
TreatmentRulesShareExample
Permitted, priced automatically2255.0%Match result with a goals market
Permitted, priced by hand1127.5%A long combination above the model's normal range
Refused outright717.5%Opposing outcomes in one market
Every documented rule40100%Legs: minimum 2, maximum 12
sample C - the seven refusals, by kind opposing outcomes inside one market = 2 rules (a team to win and the same match to be drawn) mutually exclusive statistics = 3 rules (a named player to score and the same player not to score) one combination needing two settlement rules = 1 rule (a 90-minute result and a match to be decided in extra time) a leg the model holds no joint chance for = 1 rule (a statistic the operator does not record) total refusals = 7 of 40 the first six are internal contradictions: no model and no price can make them a market. only the seventh is a coverage limit.
sample C - what manual pricing costs rules that require a person to price the combination = 11 of 40 = 27.5% requests that could not be priced by the model at all = 131 of 500 = 26.2% a manual price takes a trader = 22 minutes costed at = 112.00 an hour cost of a manual price = 41.07 a rule that is permitted but not automated is therefore a market that exists only when someone is free to produce it: 27.5% of the rulebook waits for a human.

What the rules do not say

Almost nothing in the sample corpus explains why a permitted combination is permitted. The rules state the treatment and not the reason, and the reason is usually the model rather than the market: a combination is automatic when the operator has a correlation estimate for every pair inside it, and manual when it does not. That is the link between this page and /the-model: the rulebook is the model's own coverage, written down as a list of permits.

Five things to look for in the rules
  • Whether the minimum and maximum leg counts are stated where the market is composed, not only in the general terms.
  • Whether the page explains that some combinations are priced by hand rather than automatically - 11 of the 40 rules do.
  • Whether anything states what happens when two legs become mutually exclusive by a later event, such as a withdrawn player.
  • Whether the settlement rule of each leg is stated, and which rule wins if two legs of one combination would be settled differently.
  • Whether the rules say that a priced combination may still be refused, which is the subject of /the-refusals.

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